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Oxana [17]
3 years ago
13

The points (4,t) and (5,

Mathematics
1 answer:
aleksley [76]3 years ago
8 0

Answer:

-3

Step-by-step explanation:

Here is a different example.

'm' is the gradient (or slope). We measure the difference between the two x values and two y values to see how each of them changed respectively. We know m = rise/run so we can put in our slope (7) and points to find t.

yhttps://www.google.com/url?sa=i&source=images&cd=&cad=rja&uact=8&ved=2ahUKEwjE0ciR9-XhAhWXfysKHfFwDVUQjRx6BAgBEAU&url=http%3A%2F%2Fpassyworldofmathematics.com%2Fgradient-slope-formula%2F&psig=AOvVaw1_FXiYTOdfwHU9OggjGhLw&ust=1556099125501066

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What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?
astraxan [27]
ANSWER


The value of the expression is
- 1


EXPLANATION

Method 1: Rewrite as product of
{i}^{2}


The expression given to us is,

{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}


We use the fact that
{i}^{2}  =  - 1
to simplify the above expression.



{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  {i}^{0}  \times {i}^{1}  \times {i}^{3}   \times {i}^{2}   \times {i}^{4}


This implies,


{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  {i}^{0}  \times {i}^{2}  \times {i}^{2}   \times {i}^{2}   \times {i}^{2} \times {i}^{2}


We substitute to obtain,

{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  1\times  - 1 \times  - 1  \times  - 1\times  - 1 \times  - 1


{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  1\times  1 \times   1  \times  - 1 =  - 1


Method 2: Use indices to solve.



{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  = {i}^{0 + 1 + 2 + 3 + 4}



This implies that,


{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  = {i}^{10}




{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  (  {{i}^{2}} )^{5}


{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  (   - 1 )^{5}   =  - 1


8 0
3 years ago
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What is the greatest common factor of 30a^2b^4 and 24ab^3?
Readme [11.4K]
30a^2b^4 GCF = 2
24ab^3 GCF = 3
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How do I solve inequalities with fractions on both sides?
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Please comment if you have any questions... :)

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Alex swam a total of 11.5 hours during the work week and then swam a total of 2.6 hours on the weekends. He swam the same number
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3 years ago
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Solve 9x^2- 17x- 85 = 0 Give your solutions correct to 3 significant figures.​
dybincka [34]

Answer:

x =\frac{17}{18} +\frac{1}{18} \sqrt{3349} OR x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}

Step-by-step explanation:

9x2−17x−85=0

For this equation: a=9, b=-17, c=-85

9x2+−17x+−85=0

Step 1: Use quadratic formula with a=9, b=-17, c=-85.

x =\frac{-b + \sqrt{b^{2}-4ac } }{2a}

x  =\frac{-(-17)+\sqrt{(-17)^{2} -4(9)(-85)} }{2(9)}

x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}

4 0
2 years ago
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